By using Desmos, an online calculator, I was able to make this piece of art! I used various types of functions to make the straight and curved lines. Here are the following functions I used, the equations, and the description of the line.
First I started out with constant functions. Those are the straight, horizontal lines you see across the screen. The equation I used was y=x. I changed x into various whole numbers. I also changed the numbers from positive to negative.
Next, I used both the positive and negative quadratic functions to get the U-shaped lines.
Then I used the equation f(x)=-x and f(x)=x to get the two diagonal lines that cross a (0,0).
After that I used the equation y=cos(x) to get the curved line going across the whole graph.
Finally, I used f(x)=1/x and f(x)=-1/x to get the L-shaped lines in every quadrant of the graph.
First I started out with constant functions. Those are the straight, horizontal lines you see across the screen. The equation I used was y=x. I changed x into various whole numbers. I also changed the numbers from positive to negative.
Next, I used both the positive and negative quadratic functions to get the U-shaped lines.
Then I used the equation f(x)=-x and f(x)=x to get the two diagonal lines that cross a (0,0).
After that I used the equation y=cos(x) to get the curved line going across the whole graph.
Finally, I used f(x)=1/x and f(x)=-1/x to get the L-shaped lines in every quadrant of the graph.